85367136 has 48 divisors (see below), whose sum is σ = 224792064. Its totient is φ = 28366464.

The previous prime is 85367131. The next prime is 85367137. The reversal of 85367136 is 63176358.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 85367094 and 85367103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85367131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34021 + ... + 36443.

It is an arithmetic number, because the mean of its divisors is an integer number (4683168).

Almost surely, 2^85367136 is an apocalyptic number.

It is an amenable number.

85367136 is an abundant number, since it is smaller than the sum of its proper divisors (139424928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85367136 is a wasteful number, since it uses less digits than its factorization.

85367136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2795 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 85367136 is about 9239.4337488831. The cubic root of 85367136 is about 440.3150911087.

The spelling of 85367136 in words is "eighty-five million, three hundred sixty-seven thousand, one hundred thirty-six".